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Simplifying 3(9 + -1d) + -35 = 21d + -4(2 + 6d) (9 * 3 + -1d * 3) + -35 = 21d + -4(2 + 6d) (27 + -3d) + -35 = 21d + -4(2 + 6d) Reorder the terms: 27 + -35 + -3d = 21d + -4(2 + 6d) Combine like terms: 27 + -35 = -8 -8 + -3d = 21d + -4(2 + 6d) -8 + -3d = 21d + (2 * -4 + 6d * -4) -8 + -3d = 21d + (-8 + -24d) Reorder the terms: -8 + -3d = -8 + 21d + -24d Combine like terms: 21d + -24d = -3d -8 + -3d = -8 + -3d Add '8' to each side of the equation. -8 + 8 + -3d = -8 + 8 + -3d Combine like terms: -8 + 8 = 0 0 + -3d = -8 + 8 + -3d -3d = -8 + 8 + -3d Combine like terms: -8 + 8 = 0 -3d = 0 + -3d -3d = -3d Add '3d' to each side of the equation. -3d + 3d = -3d + 3d Combine like terms: -3d + 3d = 0 0 = -3d + 3d Combine like terms: -3d + 3d = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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